Stability of the extreme point set of a polyhedron
โ Scribed by M. R. Davidson
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 965 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A convex subset K of a vector space E over the field of real numbers is linearly bounded (linearly closed) if every line intersects K in a bounded (closed) subset of the line. A hyperplane is the set of x ~ E that satisfy a linear equationf(x) = c, wherefis a linear functional and c is a real number
Let M be the collection of all KKM mappings G and denote by F(G) the set of all KKM points of G. In this paper, we prove that there exists a dense residual subset Q of M such that for each G โ Q; G is stable and there exists at least one essential component of F(G) for each G โ M .